RT journal article T1 On the modified generalized multidimensional KP equation in plasma physics and fluid dynamics in (3+1) dimensions A1 Sáez Martínez, Sol A2 Matemáticas K1 Similarity reduction K1 Lie symmetries K1 Partial differential equations K1 Conservation laws AB This paper considers a modified generalized multidimensional Kadomtsev–Petviashviliequation depending on several real constants, which characterizes the dynamics ofsolitons and the nonlinear waves in plasma physics and fluid dynamics. We derivethe Lie point symmetry generators and Lie symmetry groups and we will apply thissymmetry analysis to the equation in order to obtain exact solutions. Finally by meansot the multiplier method, we classify all low-order conservation laws of the equationthat have been obtained by applying the corresponding symmetries of the family. PB SPRINGER SN 1572-8897 YR 2022 FD 2022-10 LK http://hdl.handle.net/10498/27821 UL http://hdl.handle.net/10498/27821 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 12-nov-2026